You'd be glad to hear that we had just added the option to capture and display the name of the logged in user when entering time tracking on incidents.
Now, whenever the logged-in user enters a time tracking event, his details are captured along with the time stamp. See following screenshot:
This information is also available in the widget ?Recent Time Entries? under Dashboard -> Personalize -> Service Desk -> Time Tracking
At your service,
The Samanage Team